Burda R. Numerical methods for solving the minimax problems of physical fields allocation

The object of investigation is allocation of physical fields' sources having defined physical and geometrical characteristics at the defined allocation domain. The main aim of the investigation is effectiveness rise for methods aiming to solve the tasks of physical sources allocation by means of mathematical models improvements and development of the new methods to solve such tasks. Research methods are disclosed via the Ф-functions mechanism, methods of non-linear optimization and the methods of potentials. Value of the results for the theory and practices - developed mathematical models and numerical methods improves the effectiveness of mathematic tasks solutions at minimax approaches for the physical fields' sources allocation. Scientific novelty lied on the improvements of mathematic tasks solving of minimax tasks for continuous allocation of the physical sources by means of the penalty functions and Ф-funcitons. There is newly developed the method of descending from the stationary point, satisfying special requirements. Has got further development towards allocation of the physical fields sources at their fixed places by means of decomposing of the initial task. For the first time it is developed the new method for assignment of minimax target function of the special type. The main provisions are using in learning process at Zhytomyr State Technological University. The recommendations towards the obtained results are set to applicative field of the investigation and its implementation in the radio-electronic equipment; for the search of optimal allocation of irradiation sources or radiation flows, the noise fluctuation; for education process for the specialists in the field of numerical methods.